25772544000 has 1248 divisors, whose sum is σ = 114817637376. Its totient is φ = 5426380800.

The previous prime is 25772543999. The next prime is 25772544001. The reversal of 25772544000 is 44527752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25772543999) and next prime (25772544001).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25772544001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548351977 + ... + 548352023.

It is an arithmetic number, because the mean of its divisors is an integer number (92001312).

Almost surely, 2^25772544000 is an apocalyptic number.

25772544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25772544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57408818688).

25772544000 is an abundant number, since it is smaller than the sum of its proper divisors (89045093376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25772544000 is a wasteful number, since it uses less digits than its factorization.

25772544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 25772544000 in words is "twenty-five billion, seven hundred seventy-two million, five hundred forty-four thousand".